{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "import cmsisdsp as dsp\n",
    "import numpy as np\n",
    "from numpy import pi as PI\n",
    "from pylab import figure, clf, plot, xlabel, ylabel, xlim, ylim, title, grid, axes, show,semilogx, semilogy\n",
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def chirp(fmin,fmax,dur,t):\n",
    "    c=(fmax-fmin)/dur\n",
    "    return(np.sin(2.0*PI*(c/2*t*t+ fmin * t)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "sampling_frequency = 8000 \n",
    "duration = 4096/sampling_frequency # seconds\n",
    "time = np.arange(0,duration,1.0 / sampling_frequency)\n",
    "fmin=10\n",
    "fmax=500\n",
    "\n",
    "c=(fmax-fmin)/duration\n",
    "signal=chirp(fmin,fmax,duration,time)\n",
    "nb=len(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1b3c4c7d0f0>]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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lAMPTTNcMwyyN1CKrds5G0sKsda8+GkTTH9bKNY4YoN67yBimIobaOaE/UNKIOsX5c0Ti4DqCpzZW+fraguLzFpU0j0rUEUMwPzWHvtV/paKRqnMq2TNk7AyyY0DzH/vpM+t4/pVNpHChEcP6tMLV+1rH0KsNeCtqUUlyFd/PX9uZQZV0BrV9r4LiY919o4jB0Asq7RhUBFHHdRMpjaGuHarap3ymKKDaecHXOdcZVPno0DHAfM2QH8tymvISpnuk8efooROPxfjOUSVSdCW0pNJdk0OGjB1CdgwAnjm7jqp2eH5LA12ztzHuxxZ0DGvTCpevjFHQPNFYUEmWY6ikMU8bB214mUoKqn/Fs6ShKbssnrTGwMbMWhFrQ2dRSdJ5uCAqCJ8nqaSioGT9gTb6luMKSg9S0YO4Rzdf45nznAl/DJNKUtXLQ2y8pMai+2VkbCOyY0CTkQSg0weuaemgRSOGtWmNlVGBPeNyjsbgz02NAjOpK+j6ACno6lV7Z9BrW2OwjZ9FE2kqCcFP/Qzr3lUdZhfVzjsy3f6idk5EE+mVcu1cUHwmowerKC1l+HmMdBzSQWquX0IW4HWtK1QdgrxHd67HyvM5drZOHc/I2G5kxwDvAK69vKGQ9i2VGBU0qBmdxPqswsq4xJ6lsp9Kmnquva+OoHmtDLA0ZonMoJTgbNEZlhFmY6adhnwfaQxGuqr0HVXtIwad/VoLoZqM5zLk4dp5Myyfk6KV5Oe0bi/HWhqEJUh3vZ86RwMxvoGuUbCgHUEWnzN2GtkxwPc4urqlkIgIl62MgkrmIVib1lgZF9izVGJtQFbSZcsjs59PSCWlV+aai9fUDzC/RYTlLHhOEfetWlIE56x0VUXldHRRpDHMN9z6+dpJzHtdJY7L+Q5B4Cw68bn9vqRjUAJ2n5DMp/QU+nSJjIytRHYM8O2drxa9jbiH/VA457DGEcN4TsTQUkmXLY/MXkWTWVpjCJvH2cZZVwjr89Y1Ep4XD8/JtxZ1FNzXuWjFXnVUEqKxbECJKGlEdfpoRyXBziQK5juv8+xAI9wXFVj1zbXhrFNj9M9MJWXsFLJjAHBqdQIiBPseXL48XsgxTKomr355kMZQY6kssDwuE1RSuo4hoJK00+iKqezrzYjBSACqEo6hj0qyKp8Dw+xcZ9i1vauDcy5JoSTFZHk8oJXsiGEeldTXAbwywoKq0xGs+8b3T0FrOdkvZOwUsmNAEzFcuWccVJ5eviCVxPTQyrjE8qjsbXWxNq2wPCowLmm+xqDEZ7ny1TQUv03VMcjogF9VRhpmitpI8ffNfcKxlYoYakEt6Q6qTcQgj6QjBs/1u6B1hTxuzdcSn1Pztwyy2XFVPceadd05WeMkP697bhgpZCopY6eQHQMajYH1BcblK4tFDJyeujwuk9sbMtZnNZZGBUZFMTdi6BOfU20pwnYRiQwllZJq0UR9EUPfvPj+2jDzkDhiEPQJ0kY0RROlaxds2m1exNAHk47ruXZIgZt3xP47SM0zI2M7kB0D2r0T9oR7J1yxoMbAmUYro6JxDHMaq43LAuNRYfYqmogKYU0XhX2UVMTAVFJCcLaoFb5FZZyLIoYe4xqJz1pjcE5UKsfXykycPo0hTFe1WlfYFNO8iEHO3+sV8RysVbylBSxCC/lIYf7YjIztwKY4BiJ6DRE9SEQHiegtxvl3EtHd7b+HiOikOFeJc3duxnwWRRMxhI5hUSqJI4aVcYmlsj9imFUOo5KwVNpVvkwf7VsaRQ4mRRMBttCZasinowKLs9cGr59Kih2Y5v5TGm3lXNBCYkhWUsoZhHO052fdfp4G4e/Tf62e0xAhWUcIWXTO2GlseKMeIioBvAvALWj2cP4cEd3pnHuAxzjn/hcx/icBfIu4xXnn3Ms3Oo+N4MS5Kf7Wcy8Pjl2+MsbZ9VlbPNWjRrbgvRGWOWLocQzT2jURQ5mikhrDsHc5FqdTqajyXBgliPOGeNs5iKDmIH6WvEbf1xorxWZ+3+25oEyzc6EBTUcM9qo/+TrxXVmGt69DKgCzF5N/ZjxX6ej0vaKxmkLqGZuRsR3YjIjhZgAHnXOPOucmAN4H4Nae8a8H8N5NeO6m4eTqJNqG8/KVEWoHnOvJLpJgsXllgMYwq2qMCsK4tKkkdgZ7l0aRYwgzg2ynIauSA4rISHW19IQklZQwwPo5fN9YfI7nwffqqJc63dbCubBXkjzevQ7ua899aFbSPMqp7xjUZ+2lkrp5zR+bkbEd2AzH8AIAT4j3h9pjEYjoawHcBODj4vAKER0gos8Q0Ws3YT4LYTKrcW5SmeIzgMF0EkcMnWPo0RimlcOIIwazu6q/l75N0AcpopLaMZVtwGXPI51GOYRKCgTfIXUMqvLZZ9uEn0kK05pKShl3TRnZdQw2jWbZcSsrKdQdwipnCcuB+IiB38+39lqEzsjYKWzGns8Wz5L6y34dgPc75+Qy/Abn3GEiejGAjxPRvc65R6KHEN0G4DYAuOGGGzY65w4nz3PVcxwxAM3mO9dfOf8+XmMosFQWye01gWalPy5pbrrqnnERbRZUG6t+/T6lMfjoIL5GG/Fm3HAqySqG0xFGim93LuTk0zRRuLuZ3R/JnmOoMQxb9Vu+3c5KisdF7S3Sfw5eWxDbm2Zk7CQ2I2I4BOBF4v0LARxOjH0dFI3knDvc/nwUwCcR6g9y3O3Ouf3Ouf3XXXfdRufc4WRb9XyVihj2LZcA+jfckVhrqaTl0RAqyXVUUl+66sq47O1JlEoZTVVHm47DiBgsB6LfzxWfXUzxpFbE0hnorKRUNlFSfE4UuEnabWi2kVnvMJBe0hFDHzKFlHGxYTMcw+cAvISIbiKiJTTGP8ouIqJvAHA1gL8Sx64mouX29bUAvhPAA/rarYR3DGHEsGfcRAyrPXs3S3Tpqm3E0LePwrSqPZVkaAxsDJdGRWRwJSWS6leUFJ+NSMBqmMcvUy03mjGxY9CVyZqeSqVuRlSSOKf1BjJe184Wh9N1DAPpoHlCs3KqFIwLzw3KSuqZS0bGdmLDVJJzbkZEPwHgwwBKAHc45+4norcBOOCcYyfxegDvc+H/kG8E8GtEVKNxUu+Q2UzbAd1Aj7F3qY0Y1heLGFhjqF0rMpex753VrnEgI5tK6hxDGTuGlLGT54L+SIaoHEQRHe8fHwtX4mnun5+jjbhe4ae6hjZRQjxOz6t2tvFMCcvyMfPSVU0qydAr7HHxfZ34PKln6gl5J9I3OCNj67EZGgOccx8E8EF17K3q/b82rvtLAC/bjDlcKE62jkFHDB2V1NMMT0KnqwJNoZrpGKoao+VRkkpig7Q8Lnub1U0DesSvyFN7MJjprEbWTG0YcKspXjivmOpJXR9rDOG5NE2UooziuetrU7pL6vPwZ9LPCFbzxt7R/tnhs/qMvXYIQ4TqjIytxK6vfE5pDHuWGp95fiCVxAZ+edQUuAHxJjt+rGvF5zlUUlkkaxVGBSn+PR7THI+NYyBIGwbP9/cJV+596aq1MuhNBBGu5DvDp6kkNcdUZCIpo3B17oSRFuOloC7nghiWFmB93sCPD6CJhrTz1lFQjhgydhq73jGcWJ1iXBL2tdQRg9+fG0glcdrpuCQfMSQcw6yuMSoKjEoy01rZmCyPYyqJ348VzZQqfAsF2Jg2svYX5inpFXq4ko/nrCmdOGLwr3W1suTkU0Vq6e6qMI9bn52fp2HWMcwR6RlmcZzWGHqiAKmvpOaXkbGd2PWO4eTqBFftXYqqm/e0jqFvXwUJjhjKwjuGVMqqb4lhU0lsxJbKIrkZz7jUEYMwgsEeDBCvjYhhASpJG+b4vR+vNQYXGX97bJSVpBwIRL1CkLoq7hWMV59djnGQm+3EjiZ0oPE4/Rz5F8SjUlGSBDsN/7vKniFjZ5Edw+oUV6kGekBjlEcFDc5KmlQOS2UBIsKy0BgsTOumiV5ZUGMwjeyfsiCUii4CZMZS2ZPWKcbPiRgqYaz99SkqScwxiggsjcF2JE7fu5adV11gF61Vu/6MqdfO+OwpRA4o8ezB1dBqfN/jg88+Z2xGxnZg1zsGq+U20BRS7VkqB1NJTcfUZs04nqMxcB3DqN3/QRutWe1QUnPeajUBAEsqYggiiZRg2/Hk86ik2EA5LS4r6gguJEusCma5itbnZFZSyrHJyCAlMg8pcJtn3LsVvDEP81rh8Pyc9Px7qCQ135yumrHT2PWO4eTqNMpIYuxdKnF+YIHbtKoxbiOFIeLzqCxQFs04K+00FTGw0Ri3KbEM1z5qVBRJOqWrWTBEWWvVrdNGtXHtjxBi453UEUQ0obUKWauRFqXDTXvkceu1ZXfNlhiGg7UqmK0Vvjb2vbY+ciIZGWlsR/fdXe8YUhED0LS9HpquOqlcFymwxpAqcuOWGD5iUK21q8YxjAqKo4mKI4bCjBhGiUgCEBGDQUFZq27tCKIIQBlhFxjXNPXUp0c4I/KwXqecXyp6SFFtffe2oo/BvZKUc+33C+HvIPuHjJ3GrnYMzjmcPJ+OGPYslVhdH56uuqQcQz+V1GQlAVZNQN1GDEWkQXQRQyIraaksWqPNK1yx+m4dkNkmwzCiWrzVRro/QoiNrTR8odEOC8L6DHonONd2r6R5qbqAnSEUzNW4pjK+Tx8VNK/C9IXQufSt8iSNNm9sRsZ2/HnsasdwflphMqujGgbGvqXR4F5JTZsL1hian9OEijitdMSgHENHJSE6z0FIQyXFRpDnoOmQJospPNbcL6ZI0uKzdgz+mrjSOU5J9atoRFFBOpU19Vo+O1Xf4F/P29rTOm9FIlbE0JepxN9rb8Sgvu/sFzL6sB1/HrvaMZxoi9t0Z1XGnqVycFbStN2uE2h4fiDeepMxq5t01ZTGUHVZSfF5XvUvJyIGnoNufyG1B6stt8Wnx7UGCMboVXZEHUXUkn9WKprQFJXeYMeKEiT9NKS+wdyox3BA8zrTyl5NKQwRkru58/c+94qMjK3FrnYMqXYYjL1L5eCIYTLzGgOv2q2qZucaEXdUFOmIoQ6zliyjNR5RkkqS7/nSUUl2JFAbx1xsBKOtOh0CTSE+b1FN/B2E11a1ExlLaue3hDag9Q77eBxp6fFy/t09+Brj+r6NesJoJXTM5mY+as46ysvIsJDF5y1Gqh0GY+8CVNKsrrHUOgQ2zn17LYzLJusIACrlQGa1Q0H2eb7lUlmYDkNTST6NteiuDblzvt4/3xJaNXXUZ/ib5/cVsbmA55e6QrzzW/hMma6aih7keP857UjCWvX3UUmWFmGnsIbnhvxf7quVyMhgZCppi5HqrMrYu1QuVPnsI4aWSjJyG/nYqPTisx5Xt1STdZ637dQtuSVlBFhUEkU8eVmQ2RfJopLslhehEdbGPsocEgY3djLiPjJi0FFKcH9xbzEvhtUsELDFZ6st99wakO77jG4XOYQh/5m1LpGRsVPY1Y4htRcDY2VcdDuzzcNUUklFmkriY6PCRwSpArcuYrDE57JQhqs9PtJUko8YNHcu22qYVb5qtd5XCR1HCMpgQ17volVxqDHIz1tHY/h+noKx6abUbndW9o+lTYSfNz3O3Ao1ihjmu4YcMWQMwXb8eexyx9CvMayMS6xNq0H/qSeiwI0dhN5IpzlWd2M6jSHau7kVnyl2HLyCTlFJ44KpJF7hNudHJXXGrROqC+Es5CrdyF7SorDOHnKInUuKatIpqTJK0HUMuvCMxGub3kk5gziskM+xsp/mVYhrBxI6QgTHhkUMHIFkx5CRxna0Zd/VjuHE6hR7l0osj0rz/Mq4RO3slb/GtKo7o5yiiJpjrhszSmQlcYGbGTFUnkqy9mkeK/E5oI2U4ZEpr6ZhnEslIbgmtL3puofaucBSSkehnUZya8/aBY7GopXkr82KGCxnCNjaQZ/xt5LPtPg8TGPga+ePzcjYSmyKYyCi1xDRg0R0kIjeYpz/USI6SkR3t//eLM69kYgebv+9cTPmMxQnV6dJfQFA1wyPd2frg9QY+nolsSA9LgqUKY2hjRisAjg2dmMVMXSOYRRqDM45FASU5DWGuqOj+qkkHSH0pavGUQAiR+GE4Us5lYZyCs/Je5LYd8H3NAqzmuQcu+/HMPLpTYCsKMqITtR9dAQVnBuwysssFakaAAAgAElEQVQUUsYQbMefyYZ3cCOiEsC7ANwC4BCAzxHRncYWnb/nnPsJde01AH4BwH40/5fuaq89sdF5DcHJ1QmuNDqrMlbGTSSxNq1wxUp6HNCs8j2VZGsHPA7giMGufJ7VYR1DWODmqShrNe2pJB7fZDgVRFEUMWorq5vr/fMtI1ibO7SFRjIVIfD10pCnhOy6Dg1sam+JwFE5aZzF50g5CWMVb3WcNVtx9xwz2KqFooDsFzIuFmxGxHAzgIPOuUedcxMA7wNw68BrvxvAR5xzx1tn8BEAr9mEOQ3CidUJrt433zGsT+eniUxEd9W+AjeZlZQSn7nAzXIcXbpq64Q0962ppNoBRUEoChJZL667R3/bbQTHdFO9IKKo9fiYdumqgF2c8y8F4fC+oXGXuoLk+PtqNJrX4Wdp5pSIGFw4Tr62Wmv4+yE6VxnnMjIudmyGY3gBgCfE+0PtMY3/kYjuIaL3E9GLFrx2S9B0Vk1TSSvj5usZkrIqeyWNewrcujqGIq0xVCorSVJNbIS4ZkIbdk0/1S2VVJBfVc86JxLrDoA34DoLKRSCdeWz3sozHUE45wxD7J2RvC6ofAaCFbgU2D0V5ZGiknyxGszzqa1N+bnhvO0spijzKXuGjE3CdkSWm+EYyDimp/5HAG50zn0zgI8CePcC1zYDiW4jogNEdODo0aMXPFmJk+ftTXoYKyNPJc3DVHRXpdaom+JzRyXNjxg4KyloidEVyMWRgTwuaY5SU0kiuvCr+NgI6tV6ksqBHSHEjsKPTekXMg1Vf/bAuUC/9mP059Cfhek4BxdoFvqZVlbSPJE++ALEPbYjkyQjY7OwGY7hEIAXifcvBHBYDnDOHXPOrbdvfx3Atw29Vtzjdufcfufc/uuuu27Dk65rh5M9LbcBqTHMp5KmM99ED2hW42bE0FFJkipS23eyYzDF59aoM5WkKI6xEUlEVBLfQ+gU5hagipZJ7dPMYzU1ox0HBPWS0ius+zKc627Ris/+uLUyDzvLGo4vMdY7Rj1/5QTU9xmeCp+R9YOMzcKlkq76OQAvIaKbiGgJwOsA3CkHENH14u0PAPhi+/rDAF5NRFcT0dUAXt0e23KcWZuhdukaBsBTSUMihomgkoAm68jcz7mjknzEoB0Id1e1NIa6bqgh3WeJDdtIRxKd+CyNbzvWSGGVu8ZFGoEypE4ZbW1IU+mtwr6351QdQyJiiBrxdaKvM+kcKxOpuaf4UMZzUo6RP0c3n248v1dOTNwj+4WMzcJ2LDI2nJXknJsR0U+gMeglgDucc/cT0dsAHHDO3QngnxHRDwCYATgO4Efba48T0dvROBcAeJtz7vhG5zQEJ89zcduQiGGxdFWgiQj6Ctxky4t0d9WYaprVTQO+QuxLAISFb4Dg31snUxAFq3Keg07d5H2o5bHmmnlU0vDz/TUOShQOdAxhYEXEIJ1Q6FTk62G0ECCykuaIz9rRakcq55P3WMi4lLBhxwAAzrkPAvigOvZW8fpnAPxM4to7ANyxGfNYBPNabgMiYkhsuMOoWtokdAyFqTHwHg1jUeCW7q4ai9MNNYSo+C1NJaFpyEfkRWWpMTBFIlttmFSLlXUUrpCD1bSzuq36a3W0IQ2oxffzvKUx9uyRM+dcBT2mYsMvv3VLONaOTY+LogKlqQTnkJGxOdiOv6VdW/l8YnV+xLA8UHzuitZGQmMobI2BI4ZStN22NIaC7IihE5OLVFYSp7Gi/dlQT5SgknTNgowi4q09laHv6aVUu5C3lzqAte2n5OTTlc/SgUjjK6MHgzJSx/uoouB8HZ+3mvFZlc9az8kBQ8ZmIbfd3kKcGhQxcB3DMMcQaAwjW2Mwm+hpjaHmjXxix6EzlviUXPEDoRNIU0lFZCRHhYgseqgkZ0QMOn01pFakDhBHF/KZSY0BYeGYFHYtjSFZ02DRTsYz5+3qpjO6rP+vuVNqxqWIXesYhkQMXnzu/989VSmkQGNgLY1Bpor2aQwFkdlkz+sP7Xu1uh9HFBO66CPOSoo37xkVRWA4eQ7OhUauyVLy7+30VbkK74sEXLCytlJnm3OJdFVx3GpFLj+fPD6vfYZd9Gf8TnvootwQL2OzkamkLcSJ1SmIMLglRh+mQlBmjMtEVpJIV03WMTgXRBRaGOUIAECQmdPcN44YikJRSZzBJJwAG/1RSQE/LufQF0FoqimqYDbG+9dSrE1rDC4Yp9NV4/tavaTkGPmtW1RSGFHEjkHv22A5DetYRsbFjl3rGE6tTnDFyrgzfBbGbRHavCZ63CwvykqqY6MgN87p665aJLKSqkTnVb9TW+hMaucL3HRzuEZPQDB+JCILFsH5mtDQG+Kz+Aw6QnDq+pR+oYXpVGQRXmNHDKFGED/bOV9hafZKUhFPPB//2eRPiewXMjYb2/E3tWsdw4nVaW8NA2NlVOD8pJ9KYsO9FFBJqYihGZtKRwUaQzcSUYHmx4NNfJRBXOo26kF3PEUljYwd3Eai6M25sC5Cr5Yj6igy4v68rmgOWl24UKxNZiW50AhbmkUyRTVwNv6YjFS6sYbQbGZqGQ4kI2PLkR3D1uHE6qRXX2CsjMu5EUOXlSTF52Qdg6dxvIYQOhDurjoyqKS6dijLmEqSGoF831BJYYGbpJ10MZvcArR2rotApCPge6VaXvD9oiylRCQQaAfRdenXUm+wNu1JUUlmJ9Y5GoPZcVY52oyMZwt2rWNo9mIYEDG0u7j1wVNJ8zUGzjDqixiiAjfhYHjbz1EUMfBzlcOom70YyOqV1BazScOs6aVSUEmBQB3VNVgag23I5Rz43l0koJZD6X2bQ41B0l/WeIsqqp0TVJL4LHV8TfedGA4mZx5lbCculZYYlyROnp/0NtBjrIyLuW23fR1DWOA2reNfYLeDW0FRIzyG7q6qV8Hc+wjwTkO20uZx/JO6jXrQ3s/Pkd9LQVrSJjICccJ5xNXLoaNw0I6jr6As1BismgP5mYBQ3G62A41pndDY207JOl8bBl/OT88nRwwZ24msMWwhTp7rb7nNGBIxTEX/I8a4IHM/hk58Lht6B0hFDHb31boVhLs6BsVze0PejHftqr8o4pTLUSkzjtBeHxa9SefEx3mb0LBuIU318Dzkxww34OnTGPzrlHEPrk+Kz4bhT9BUVh2DJUhb9FJGxrMBu9IxTKsaZ9ZnvZ1VGYtpDJ5KSvZKEitzaikhq/JZprPqLqGyKlobsZGiklh8JvLN8diOySZ90lk4YaQt59G10pARwrwIwqXrBuSKX4rKgE0BNXMW94a/92J1DOgda2oMSjTnz5qRsV3Yjj+3XekYTnLVc8/ubYyVcTG3wG2SpJLSEQMb9mbfhjhi4P5GQBwxlIJK0oLykqKnKtfs4BZSSTq68NFA0Cup9s5Dpp/6iMHPWVcsa82hT2NwLqRtwnH+RN82n/qzNZ89HWHEz7HO+zmZ988eIWMHkFtibBFODqh6ZqyM5lNJHBnIdNWlVIGbaInBPyuj7fZIGH9NaUgqqVL59aMydhglIchKimsevOErg7bbTmkM6ObcCL7CUdShKGZFEPLvWRt5OTas9PbXpKihVOVzqE/E95H0l/wNWBSR3hCpuWd2DBnPTuxKx8CdVa/ZNI3BKHBLtsSoQYTO6OuIwbWr9yKRrsrnWM6QkYGcgzSUhdrBrTPwRo3CqCiCWoFRl65qRQzt+7YPU7jZj15xxxGGf62+oyT3b49xgraqEobbFLGdaL5nRCOWxiCRW2ln7AQylbRFOH6OI4b5VNLyACrJ1hgKu7tq7auJeZxFYwRN9tRKuaRYfJattJtxfjxnMXV0iMiM4vcyipCRRdgSw89NRhBlQZH4LHsZAbHGoJ1hij5K6QTakOv2FPra1H4MfMt5ez5bTiAzSRnPVuxKx8BU0tX75kcMy6MS63P2Y7BaYoxLe89nrlFg6L2hZ0adgzZ2i7TEcA5tSwwpqjb3khFJQCUJwzgWWU5hxCC1CjIiAt1Cw/Ua9lQmUsq468rpzsCnBGfjtbTr1th5Ka5ZY8jYCWxHoLopjoGIXkNEDxLRQSJ6i3H+p4joASK6h4g+RkRfK85VRHR3++9Ofe1WYMgmPYzlUYHJ3KykcLUONJRMKitpVKQpJ/YRsrV2FDEU8X4MUjwGQj2hKBBQSXxNWfqaBxlxSCpJtt7o6hiKInAEZVsU57SjqHWBnP8e4gK3FH1kO4NaXW+1p5jXNyk87+fmaak03ZWRsVPYjgK3De/gRkQlgHcBuAXAIQCfI6I7nXMPiGGfB7DfObdKRP8TgH8H4Ifbc+edcy/f6DwWwYnVCZZHBfa03VP7sDwq5kYMFpU0HlGXrSShI4ZRScr4tRGD2IxH8+PhfgwpKsk7jKK9V90Z/GbzHr6Hc7IOImzFPTJaYlgRQ22eb55RtbRSqjmegxKmq/nOIOT8na0ViK/fuk+yzsEQmjMydhM2I2K4GcBB59yjzrkJgPcBuFUOcM59wjm32r79DIAXbsJzLxgnzk1w9d4lEKU7qzLYMfQJjVbl87gozAK3WV2HGkNRKKPV/GTnMVLiNK/CNZXEQ2SmEcBOoKGSdDttnkYjPvvnSipJ6hBh2wxv6JtNgGJH4eAggqNkfUJEM80TjRFHHGbEkLqnMdaikrK4nHFR4hKhkl4A4Anx/lB7LIU3AfiQeL9CRAeI6DNE9NrURUR0WzvuwNGjRzc04aGdVQFguY0qLCGZMTXSVbnnUK2WnYtoDECTvSQNGPdKKhKVz1qXkPs3yIZ5RGE6LEcRMrKo62YLUr6Gj3tH0H7Wxut0c+F7OCdqJeq+OgZnpovKzyU/k/zc3fUuHpPSJ3TjQH0/q/I5I+NiwXb8VW6YSoJvaS9hzp2IfgTAfgB/Txy+wTl3mIheDODjRHSvc+6R6IbO3Q7gdgDYv3//hr6bE6sTXDNAeAa8sV+fVV0fIg27u2rzelrXWC48ZTWrVFZSQabRkhGDNnZFEDE0x3lvZ92Ou253cAv2Y2jHFpJKqn0UYXVX5QihaGsiZCaR1xjQzZ3P80ft1RjU3g1D6KNUE77UGJMqSpzvnEz2Cxm7FJsRMRwC8CLx/oUADutBRPQqAD8L4Aecc+t83Dl3uP35KIBPAviWTZhTL06sTga1wwCadFUAvTrDtKoDowz4jB9rP+eyDCMGy4B1ldFEUTFYk8rajhcRQ6A9COPOTsAbPG6r4e/RRREUFrjxPJzz1/H+0T5iKDrqiD87ZwrJdFcZF0QFbkEmkkhXTYrJfrykogbtxzBPqM4UUsZFjEslK+lzAF5CRDcR0RKA1wEIsouI6FsA/Boap/C0OH41ES23r68F8J0ApGi9JTi5CJXURgmTHscwqequWIxhtcwG4qwkXeAWOYYyjBhmNe+vEIvP3BNJHpeRgKRQNB3VVEjHO73J9t61k9GHjyw6sVnoI2ysvWNpjD/LOjqrSGKIcdepwHxmSHZTLaKs7vpENJORcbHhkshKcs7NiOgnAHwYQAngDufc/UT0NgAHnHN3Avj3AC4D8Aet4fqKc+4HAHwjgF8johqNk3qHymbadNS1w8lFqKTRgIhh5gJ9AfBUkjZglsZgRgyUiBhqtYObcgCxKO2pJxlFkKCS6rqtttaRRe2CPaTrurmO94+Wlc/Bng5tBNFMoaWn0BjtUUGYVk5RZmnxOZWtFLS4CCKGNN2kj6c0hhwxZOx2bIbGAOfcBwF8UB17q3j9qsR1fwngZZsxh6E4vTZF7Yb1SQKaAjeg0RhSmNV1kKoK+FYSukFenJVkOwa+vhAGHYDvo0R+Jc8/w4podD85kvCZSgh1iiAaCGmocWlTSVXtggihEbD9++ZZ3tmwoyjZMQgHKLOK5HegX6eylZi2kt9H9NrQKpIid/YLGRcxLhUq6ZLCIsVtwDAqaVrVgfAM+L0ZdCM9OyspNmBs+HUBXFWF4nNAJRUEaqchV9BdEz0RXRSSSqp9ZCGzoNiQ8/35Pe/toNNXo0roljriLCYHJ5r/SRrKJamcIWJyqpCtr+me/I74O7DGZmTsRuxCxzC8HQYgI4YejWHmIsfQRQymxhDWMViGkMdIMZjPB1SSMOKyaC2gkiimkji7iN9LkdpHG7K7akhB6TYaUozu0lXRPBsd9YSoY+xIFMPJugpGskNqgvqZJZyK3Sk100cZlx624y919zmGtoHe0KykTmPoaaQ3reoolXW0gMYgjRk7Ejago1KnqzaCtBafZb0CIKgkjiQCg49gsx/vGMJ0VecQUFb8niguaHPR+5CegvMaA38PQPNZeH9o7ez061QEkGyVMafn0rzuqRkZFyPyfgxbgAumkqq0xjCtQt0AaLb2bM6piKGKeyXJ9ExpXIFYfK7qWu0H3V7H9JCiknwGkh/nq6G9kebVfNBTqXYoi4YOknUJvo6huaePIJx47+egNQZA1GvwtUAknPe+TjmMQVpF+BPYHt42I+NSwa5zDIts0gOIOoY5EUNMJbURg1XHoCMGozeQ3K9B0yC6nYU8rnsocRM9Wd/QZSDJiKE2Kp85o4lIRRUqYiibtts8y1EbBcCha+BXO9+eQ86vENEGO8zUTm2DnITUKgYI0RkZlxqy+LwFOH5ugrIgXLEyLCHLVz731TG4oE8S4DUGvb3nrK67c0Ccrqr3StCOQ3dXDbqoUpyt5CMJH2HUrilmkxlMkkoCfJuJ0BFwERyCCKHk9FQhKFfCkRC8xtAV/gUag3dM8jtoXvvvLh0NQIyfTz1l2igjox+7zjEcOzvBc/YNa6AH+F5JfVlJs6rGkkpX5awkS3yO6hgM8ZSNNtMwDF3h3Amp2mEIgbUsyBeWtQa9Wcmju0ctnIA/1hhrEo6geR/3SpI7tnnNoemX0lBRPgKR8/YZSwkqKeEMkg5ggD6h+1dlZGSE2HWO4Zmz63jOZcuDxy93BW79GkM6K0lFDHN6JclVN99HV+1K4djXMYhqaUEHcWqqpJLqNrMpopIKBNqFpI6c88/2GoOfq3wvjT1HKxyB6O1KR6U/xw37kg4gRQ0tSDfliCHjUkamkrYAz5yb4NrLhukLwLDK50llpKsqyoQRawyFqTF03VWV+MwFclFLDOepmEK1vwhqFlzjRMw6BgojC0kdyQhC90riIjX+g2VjH6a3thqD+l7k3g6y/QbPQ1ZIb4Q+kpRU9gsZlzK2oyXG7nMMZ9Zx7QVFDH0tMXrEZ0tjiLKSYmMWdFft0kd99pDdXVXQTwGV5HsUsYEnQtBEr3Jh/yRJaXH1tXcU4Y5tZUnBHs9lUXR7PJPSGDoKrFIag0hX5dbi/Ll4HlaRmpwrfxb9XerjGRkZ/dhVjsE5h2Pn1heLGAaIzw2VpFpiJNJVq9qF4nPZ30SvEOKzXKEXakUtIxGZydRRSQW3tojTVWuxuteGmyMENvRFEfdKkkVq/j2L1wjqHjQF5u8Nn2pbCy1CRAxJKimZlmofz8i4lJGppE3G6qTC2rReSGMgIiyNioU1hnEiXVWLz7qOQVNJMmLg6GNUks8OCqgkUS3d3tI5X5/QjEO7AU9IR7Gz4MiCn1UUPgsp0hzYUZkaQ1g0B7QaQ6kigUB/8BqDF9f9MywHyp/dv4Y5JiMjYzh2lWN45myzDcQiVBLQ0En9vZJ6WmIYlc9SfNYGT3Yo1ef5VmzQZUaTjBjYkAOcxqozkBqKRwrNvj4ipJJkCwyvV4QRA2sM/jMhcBzcpptFb3l/H224YI5yS1GeR0pLSDsMZGQ867Adf9a7zDE0xW3PWYBKApp+SfOopKWRna4aVT7Xrsu+AWLu3EcMzXupF3haxTpnF8Xx6pvPyQrmUHdA4Cy4+Z9sgcGisO6V1DXRq71Tc/AtNbq6ByCiiFi/cAirok3xOaEr5PTTjN2E3BJjk9FFDPsWjxgWr3y201WjiKGM91sAfOrmSEYFVXhOZuo0+zQ09+C2Fk4Y34BKcnGvJGdEFoDXM5huKtlR1JoOCqklWS8hNQYdCYQRgz/X7QMh5mFlFskMrIyMjM3BpjgGInoNET1IRAeJ6C3G+WUi+r32/F8T0Y3i3M+0xx8kou/ejPmkcKyNGK69fNGIocCkujAqaapWs7OqjjQGixbpCtyE+Oz7CzVjZSfUgEpqDbMsIpNiNUcMuk1GUwgXiuZN9hJHBLqOgT9DEVJLItOIQF2vpaZWIU5X7TQGsYeFruAuhBMkQjKNNSPj2Y5LgkoiohLAuwB8D4CXAng9Eb1UDXsTgBPOua8H8E4Av9xe+1I0W4F+E4DXAPi/2/ttCThiGLp7G2NpVGB9mhafm609bSppbsRQFJiJ1X23Qi5j8dl3JG3uLbUEueLm1bU0nnI1zimv7AQklSQrn5tnhL2RZF2CFJt9eqrXFBx8VlO4Y5tsu10Eaa58rkullemqQtMIKqezY8jYRbhUspJuBnDQOfeoc24C4H0AblVjbgXw7vb1+wG8khqrdCuA9znn1p1zXwZwsL3fluDY2XVcsTLq9lgYiuVxWmNwzjUawwL7MZRlGDEAnoYxI4ZaOQYpPptZSb5NdvPeG3znfM1D3Hbb6xdeY5DpqVzJ7OknIu+g+DxHCN7ZhI5Gfhb5+fhrkSI1f4ZSRFaFcKx6v4qMjIyNYzMcwwsAPCHeH2qPmWOcczMApwA8Z+C1m4am6nkxfQEAlst0VhJvaZlKV9VN9KysJMBnL+mVddkjPiezkloj6o2xrxGQVBJPQ2YMkTLcHG2EdQxycx1ZACfaciOMIOTGPICPNkoKtQp+dtRTqYidJt8vU0kZuwUvvnYfrr9yZcufsxmOgYxj+n9qasyQa5sbEN1GRAeI6MDRo0cXnGKDq/aM8Y3XX7HwdcvjdB0DGyvtGDojJyIG51yUlaQ3rqnalbqsY/DpqiHl0peVxA6A38fFbGEnVq8fhI4qbokR9kriiILFZwJTT747Kyiuz5gJIX1mRBPmvg3qHkCoPWRkPNvx977hOuxbHtYZeiPYjCccAvAi8f6FAA4nxhwiohGAKwEcH3gtAMA5dzuA2wFg//79F2QJful/eNmFXIblUYHj5+yIgUXpZOWzkVdvRwzewMvjvPqXY4KIIZGVVDtf9yCdAFM8crMf2deI793tJBdEBLIlRvheagwyC4kQOjAtKkvxnek33r6UPxd/D75a2n/PsmFgRkbG5mAzIobPAXgJEd1EREtoxOQ71Zg7Abyxff2DAD7uGrX1TgCva7OWbgLwEgCf3YQ5bSqWegrcpu1xvbUnETWrfSE+8ypct90GfGRR1XHEIOkiwBtXya9HBW61C+gavxrnlhPqmAsL3AIaivxmOvy+ZmpJaAwOcfdVft85gjK8fxkYfINKMgTnIGIQtFJGxrMdZJIsm48NRwzOuRkR/QSADwMoAdzhnLufiN4G4IBz7k4AvwngPUR0EE2k8Lr22vuJ6PcBPABgBuDHnXPp9J8dQl+BG6d1aioJaIygVZWr224DImKow+OSKrGqoq2WGBxJyFRPnl7QqiLQHXwxG+AjnaBATYjL8j6EcLMd7zgQaQy6tXbz+dDNG+DoJ3YgOnupmV/8O+HjOZLIeLZhu9ZBm0JWOec+COCD6thbxes1AD+UuPaXAPzSZsxjq7Dc0yuJs3f0ns9Ak7I6DSKGeMXLRs6npPqKY74vG0fPy6O7D1NPYcTgxWB+zwZfU0CAopJYY+CspIKC+4URhHQcEM5FOJJWrO7mTn6+/vO1URJ5J6k3HJK0mfTB8rtkrYOP11X2DBkZF4JdVfl8oeijklhj0FQS0EYMcltO0Wq6GzMvYiAhPivKhSkjPhe03W4FZX4v915gCkiuyrsd4NqpeUFYaQYigmBnIp0OCcfhIKgklWoqaTFNEcm+Sbzql8V8MitJUkmp4xkZzxZs1191dgwD0EQMtmOY9VJJRdBEr4sYxNiUxhD0PVJ1DMzTh3UMKitJagwFFJWEoH9SuNoPs4a6iIAL48g7HqaWZCZTUzgX1zVIsZnnwXPTjiHISrJqFwyNpu94RkbGYsiOYQD6NQbOSoq/ynFBQRM9U2NQXVgrF2/9yQ5Fp3WygeZ7d1lJbaaObyERUklV7Vf+gBeqC4rrKohU7yOiIIKQ9RCVSHllsTrWGHyExPeWWkgzxzh7SSZ9WeK9/l7LHDFkPAuxXX/W2TEMwNKoQFW7qL0F4Kkk3RKjOVYMz0oSxl+vjmXbC3mNdgxFd9xz/AA3wpMaQ+gEqtZZyJ5KMmLouqvWVh0DCXqoDrOUnHdKOqOqrptUVnlOGnbvbAxdhuJx0XHjXhkZlzpomzxDdgwDwNt7Wo30OF11OZGVJOsYhmQl1XUcMXTFb8pI6pYYXasM0llJsmEeIgooRQvxM7ymIPdnQCdi899q8xnYkYQdW/Vnr1ysP2iNQBr0ImH0U1RS4DCyZ8jIWAjZMQxAt++z0Xq7S1e1xOdC1zGk8/BlxKANJNcMaANapLKSijgrSdNGcWO9trZBOSqZheScCxyFN/z+Po1YLSuh7XTVWdUK1/CisjTsRKEzSFFGqTG51iHj2YgsPl9EWB43TffMiKFHYxgVhbkf8Ui2xChDQ1zXdpO9qnZxxEAqK0lSSWK/BCkqV851G+EEO7i5kEqS+gSv6qVA7RS1xJ9BagyclUSI+zzJDCeGdIgyEuHPYL1OOYDUmIyMjPnIjmEAuHOqFTFM+uoYylB89nUI0miFBV9RxCBW8FGDPZWVFHRddX6/hLIQnVTrcGc1framkqaRxhDWMTTXQb0PK6HrWrTQMNJVORW2+y6EQ2T9AUCbEuu/1yHicxaiMzIuHNkxDMDyuHUMRpHbtLeOQaerxk5EN9GTK38gzO2vlGPRLTH4Mhalw7YW6O7jm9/pKmZvgGddM7/GsHbUUOBQ6iDjaVb75nxhnUO4xzPPlxvudZ81oTHIiAfQWsIAvSFHDBkZCyE7hgHg/RuslNV+KklFDF0dQ2zM2GnMqlh85mt1T6GgJUaQlURBrySZOQzf57IAACAASURBVCRbWQBt11LOSiooqD4GWkdQKE1BzKnpudTMtWrfE2RhmtIYBKUlHZb8Lprn+r4wBJ19ZF8jGDozqsiBQ0bGMGTHMAAcDZiOYcYFbhaVFKar9mUlycwjizev2+pkQBW4ccQgs5I6KkmKz8Ix1AicSCXpJTWfQkUAXLDGY8JMJhes7rvzoogtpJIoufrXEUNSZE5EHFYVdKaUMjKGITuGAeiykiwqqV3p6x3cgLiJnq0xhCv0qMBNdCONdnejsCo6qG+oEWoMQheQLSeKItxboROSgx3c1MY8yhFIakmeZ5GbQCaVBAqzLGQtSJCVpMaFqaviuIo4/HccX5eRcSnCzR+yKciOYQC6OgYzYujPSrIqn+VYzlBi/SAqcBOr7y4CkOKzKH7TBW4+s8gbUE0lMc3DjqUTn4OIIeyNJKkjEgLyrHIB7VO3mgPrGHLulYou5Gdt5uy9gRapRwYVB6iIwTgeOJHsIzIyksiOYQB6qaSeOoZxOX8/BjZWfQVugK9OlseYBgK4JYZwGHWjCfC4sGbBG9qSfAZTsKubcAysQ8RFcCGV1DmOIj7fidlibKwx+NcE7ygIG0xdLfxntcZmZFwq2K6/2uwYBqBPfE7t4AZwVtK8yuc4XdUyarPKIe6V1NBAvCtbFzEUfoc1QKWrdoVq/v5cvCZTT6eaShIUlNcQ6sC4e43Bf16OIORceKx0REDc6oLvK6MUeQ/5Xejj1uu0noGMjEsCmUq6iOArn9PpquPCiBgKGrAfg48IgDZiKGNjyRvhyGt8ZNCMDdNVEVJJbKxFXyS+httnlCQ27xFisaSSdD+lQFNgxwD5vpmPTtVtog9t8P13KNNg5T3ld5L6LqPXIpKaNzYjI2ODjoGIriGijxDRw+3Pq40xLyeivyKi+4noHiL6YXHut4noy0R0d/vv5RuZz1aht1dSVWNUhNk1jLJQ+zFYlc8d596mq6oCN0t8DnZ3c6LwraOHEFBJQRM9UcHMc2SnI1fwVksMWbDGcwp6JVWhBsHVzUR+/+kwJZWS2kEQMSAtMl8wlWTQUdk/ZGQ02GjE8BYAH3POvQTAx9r3GqsA3uCc+yYArwHwfxDRVeL8v3TOvbz9d/cG57MlYCppLdEryRKegZhK6osYZt1+DHa6qik+t1lJOhWUqSTZzlp3V+0SflL6QVV356M6BkEdSS3ASl9lcVq31ga4utl/X2HWEIEZVSlw8+fuvuOFxGfplOLn5qyljIwGG3UMtwJ4d/v63QBeqwc45x5yzj3cvj4M4GkA123wudsKrny2spIms9rUF4BWfK5lHYNR+SwiAv5pRhRGEz1drxCmq3qNoSCvMcj2F3yvjkoSG/r4rTipM+zcTymoUyikgF63W3nCn6ewg6pugBeu+CHOSY0h3AI92Swv4STmic+WBpGRsZuxUcfwPOfcEQBofz63bzAR3QxgCcAj4vAvtRTTO4loeYPz2RJ0vZISLTGsdhhAQxnN5vZKCqkbNrYMKT53jqGUDiBuW91lGkk6SHD7MippqCS/Nahsb8HPkC0xZPShs5J0xFCpiALR65C+CdNVRVYSASnKSC7yQ2cgjos9sq178MtcAJdxsYPp4a3GXMdARB8lovuMf7cu8iAiuh7AewD8mHOOl9E/A+BvA/h2ANcA+Ome628jogNEdODo0aOLPHrDKArCUmlv79loDPbX2DTRMyqfg+6pYVZSU+AWRwy1GTHwfs1+nvyTjX0zThShRVQSV1VDaQx+BzcWnzWV5OsUBHUEK2JIGXWlMahogk/J1/oei4jPYR1DHFFIJ2X5iOw3MnYLRvMGOOdelTpHRE8R0fXOuSOt4X86Me4KAH8M4Oecc58R9z7Svlwnot8C8C965nE7gNsBYP/+/duVtdVheVwk92MYj2yLEVU+WxqDWqFbO7jxcbO7aiA+t9e0xl7XIgAGlSToKG6Yx5+Lr/UtMXQdQ42CSlXwFuoZRYEg+Vqv9vsiAV/H0FO7YBh4OUbqEykqqdMY1O9l1u4/IR3ybJtWbBkZO4mNUkl3Anhj+/qNAD6gBxDREoA/BPA7zrk/UOeub38SGn3ivg3OZ8vQ7PscU0mTqk6Lz+1+DBz+WVlJZacxNE5HF7h16aq13V1VNsvTDkNqDGwcZfuL7h4BlYRgrmVBRh2DHxNTSaE4Dd1BNdIY/PcVisMkohodMdjXjIyIQUYwfX2ZormJ661rMjKezdioY3gHgFuI6GEAt7TvQUT7ieg32jH/CMB/D+BHjbTU/0xE9wK4F8C1AH5xg/PZMiyPElTSrDb7JAG+6G0q2l0AoQHy6aroxkgDFGzUo9NSi1BLkHn/QXfVQtRLiJqFZmxYDc0GURa4dXUMRkprQd546jYXZq2C0hFSGoE06EQI6xhSIrMRSUjHNU+DsIre5PwSjGFGxrMOc6mkPjjnjgF4pXH8AIA3t69/F8DvJq5/xUaev51YHtuOYVb3p6s2Y2osoTCzkrzBrrufI2Pl2mgJYcuJrs+RlZUkNQZJJbnGYJNwLl2rDrGCD3dwUymtoghOawxaU+jTGIae6xOpw70rEB0n4bjmORQrimgckovOZ2Q8m5HXQAOxPCqxlqh8TqWrjrrVdzpi0BpDVSe29nTO3A+as4zkvViUlsadOmNed9fyz1mnJ8Tz4YwmTzf5a2e1JUaHq+woKlA6AiUcQ6gx9InPieOdxkC9hl++Du4lNAp9LCPj2Y7sGAYiRSU1dQwpKok3vm+jgcrI5S/CPP9KG38lPusVcjorybfKkG23pcFvfpLvpFqI1X/lHUhBrE2EY1L7MejVvaSBdIFbkTD4zXXtOAoN+SAqSWoE/FlT1dMWlVTEjiHXOWTsFmTHMBDLoyLZKylVx6BrFKyIAWjrHYJ01djw8UY92qkEWUnCwMVbe7LB11XSsRPQc5XUFIkIYVbVEbXUFLjplb/8rGkqKahjgBCNtficoJIsCk5+JtmLyWqPYWkMEtkvZOw0tispLjuGgVgel8m22+mIwaCJijB3H0CQEllV9p7PszqmkqKWGEJkDVpoCOMtnQCPDaikInQgbNitthnRfgxqox4Avfs69zkN3Xk1RTmlnASzcVK4loyflRJsbgeaEL0zMp7NyI5hIJJZSb0aQ0glzVQfJIZsthdFDEUYMWinYbbEKELxWe7lPNVUUkHdLnS63YU8xo5Gp6NKR+DTY/1nazQK/16mnhZKgNC9jLpxhbqn8f0AtpOQTjGlTUiRW84TAJxodCxrIzIyns3IjmEgGsewYB2DSlfVGUeMJmLgrCRn0iNMGWkqxhKfIzpI6gBVj/hceNpFOouy4JYYca8kverXNQdSk+C5kRibSmWV9Bch3XZ7XiRB8Kv+VORiNdmzhGZLxPZOLhqekXHJIjuGgVgelYnK5746Bp+u2vy0I4ZR4buPVoaOwMe104hpH08PyeOcWcRzaMaiGytrFvQ9OULgymddxyCdTnM/QysQn1X2WiIoYy33fIbcj6EvYkgd96v7IELh+yeii+h6KZwzPSU/T5fRlD1DxrMH2TEMRKqOYTrrqWNQRlYbfYbUGLTzGCnHYLV14H0idJfQzuAX3sDOqlCPIAob5kn9gK/legm+hzbSgTCsIoRIKxDP1hSRLkCTkUWq7XaqBbfPKvLX6nl2Y4WT9PNufgZUkvW7I/+cjIxnC7JjGIgUlTSt6qApngQ7jGmgMcRf+UhqDEatAl9b1XaPn2nnGOJr5PuyIDHWH5sJB8KPnlah7mA5j+Z9vBKPNAZFNXXpo9rgB4bXawMEbdTla//GrnwWekrKuSiHGs9FjVMOTN8vI2OrsF2durJjGIiVRFbSEI2hS1etEhpDSWEdQxkbqCb7qDYF1KnONOLjM08R8Xldx9BUPscFbjpCCHsn+bnPdxSINAZJyaSLzjyNQ6SNsU0lmVlFFNZDwHhtic9eozDmN+da6xkZGZcSsmMYiOVRgcmsjvqhz9uPgccAfRpDEaa0GvRIU+A2L2IIV7SycI2Py53Z+OesiqOBqRinW0HELS8w571NLfVtwCNFbT1Op7Wmrm+ej+B51lgZPenrJSyNwaqB0OcyMjYL2/UXlR3DQPD2njpqaOoYUlRSa9SlxmCMDeoYdOYRRwxtEzvLoE1mOiuJn6sjCYrpJRKOhcT+zXUsXPM9+iMCgvzzjbKUPJNkpLKG0U0gPhsOUX4H0etujOjS6h+VbJ9hndfHrOjF0h9yb6WMzUamki4yLLdRgcxM4uKyIU30mp+JOgZqGtnVvFdCQnye1bWpP2iRWVdcy74/fhc5dGNlphJrBGHls59rJD6rCIHUeYI13hviiD7qKBzRXRXpyCIlRHsjjsDByHl0r4WWYZ3Xx7Sj0/dmZL+QcakiO4aB4H2fpQDNuf7zspK6OoaqPyuJU1bT6apq5ayyj0Zq9erpIP+cqUklxbUNVVJsjusSYmop/V7ORxrt9kxAH0lDnFrNW9+HfK0pKfMecxyHn7d3Wnqc5fBzxJBxqSI7hoGwqCQ2+Kk6hlG3CQ+notrbgI5a8dkLvPHWnlx5bPVRstJSgXiP6ZIsKsk30ZNUSSWiiF4NoTDEZ0UPaapJppLqaESmlgYaQxCVyO8A4nUcaRXk442U4ZdCdXxM3J8jC6WZ6GPy82RkXIrIjmEgOipJRgwzjhhsC6DF55QewXSOp2/8OZl6qrf95HGTKqSMfCfVMBIgInGsvb9ookfimHx+FCGo1TbRnPGBIxH1CQDi6ELch7OS5HypRyswvjcSn0fPyxqrz8tcA0tM9inC0akcMWRcstiQYyCia4joI0T0cPvz6sS4Suzedqc4fhMR/XV7/e+124BelGDHsDaVEUPrGBJZSVp8ntV1pztIjIp0xKB7JZWGQWMHpfPxWZRmo1UW4V7O/NP3OKLgJ7/WYmusOYQr6IAc0qt90VTP0iekM5COKqlLBI7BrmmQ9/Rj4+ggdV/5WTS0M5awWndnZGwEl0p31bcA+Jhz7iUAPta+t3DeOffy9t8PiOO/DOCd7fUnALxpg/PZMiyPYyqJK46His/THo1hJh2DQY/w+ZHhNKI6BhExSCpHpqtaHUVtxxCvxGNqCMF4nbWUEpib6xIRg6CopPisI5BQcA7nIecQfa6C4rHGfUMqKe0s7KykeI4ZGZcCNuoYbgXw7vb1uwG8duiF1PyPegWA91/I9dsNk0qaozGMlfg8SxTDjYoijBjEGK5G5v0Vwr2KQ8fgIwa0z4urqK2Nevz9mp9aHO6LIOad145ERhCEMGKQ8wkiBuFM9G5uqTRWS5MIjDzF14VUUjo6COZrbPLTje9JZc3IuBBs1xpjo47hec65IwDQ/nxuYtwKER0gos8QERv/5wA46Zybte8PAXhB6kFEdFt7jwNHjx7d4LQXh3cMBpU0L2IQBW6pOoYwYgjHdFSTc+YKf6KpJCFKa5FV90qyKo/1fXo1A/1et8hW50NROX5+5zSkg+kVn2NKyJqz/qzzqSRE8A7NQ3e0Dcenz2VkXAi2i0oazRtARB8F8Hzj1M8u8JwbnHOHiejFAD5ORPcCOG2MS35s59ztAG4HgP37929XnUeHLitJaAxskFO9knRLjMnMzkritttWuirgs4R0ryXfRE9lHxX+uZrmicRngyrpnEYRGzadhaSb5kURAtIRhaahJO3VvOZ7CKNN87UCvt7PQb+AGXXMo434mPzjsxysP4fkOQ2i7ftPn5ExD3Mdg3PuValzRPQUEV3vnDtCRNcDeDpxj8Ptz0eJ6JMAvgXA/wPgKiIatVHDCwEcvoDPsC2w6hhYY1hOic9dVpLvnJrMSqpctye0ph44Yoi29hSRARBXPuuIoTAihr58fsuwWVlIfeeJNEUjIxEjldWgj4Kow6UpIyv6CT+XHWnYhWtpxyDRV/ncJ0xH9yHfej0jIwW3TbXPG6WS7gTwxvb1GwF8QA8goquJaLl9fS2A7wTwgGuaDn0CwA/2XX+xwKp85tfJXkldVlLd/bQ1Buoqm/m9RCHSWa0Vsq9jaMcLx6AN4FSlsFpFYVrE1kJtLC4jeV7WLch7d+eie7VGWhW76X2k9XcA6P2k/Rj2TMlII+EANewCN75Hz/gBVFKmmzIuJmzUMbwDwC1E9DCAW9r3IKL9RPQb7ZhvBHCAiL6AxhG8wzn3QHvupwH8FBEdRKM5/OYG57NlWOmykqyIoTSv6SqfWyppWvX0SjK26JTnG/G5No2f1UobaMRnLbj63drCe/D55pj+Gc5lvhgN8T42jPLZ2sjKKIGC43zDnpW/pJKMrqiaErNey8+pwYcsKsky/taWoinkmoeMIQiTwbcOc6mkPjjnjgF4pXH8AIA3t6//EsDLEtc/CuDmjcxhu2CJz+vTKjinQUSdfgA0/P7YqnwuvIYAxIZEnrfaQXRN9JQmMDXG+75IMc0RUUiGKGtXK8v3RjqrMt6FsPKhQRQ0FOl01QR9FKz87TH+lnZEYXVItWz50O0+9blFHENBfu/sjAyNS4VK2jWwWmLw65RjAMJNeGbJiKFoNIaEY2DxudJUUkpj6CKGOjJ2ui+SucWlijxiR9Bj+E1qSV0/8JzZHkPPWbyW3601RkdPfedN2sgw8PzMVHNEPZcUFhGqMzK2GtkxDMS4bFazHCUAPisppTE01xWd+DydozHMS1edVf0ag+yJBDSOSLfMnur2Gcb9NPWi00MLZUB1REChhQ0jDhElaPFZZzNR93wdlaRe2yt+Moyu2XDPX9J9PyFthGicpdXEz41OReiLPDIythvZMQwEEbXbe1oRg60xAM2KUrbdTu3gFtQxqKii4KwkvVeDihg09TOt68iIa6G6PyspNlbaEZRFbIRThpvfS0OdoqVkNBE5kwStFKSrimdaq3+rYjpV56CPWc7CpJ6Uo+5Dbp+RcTEhO4YFsDwKt/ectEJ0X8QwKgpR+ex6eiXVyYiBxem5dQzd6rU5HxW4UUw7WSvxKDtJVVv3VTZb6aspx9KXsdQ4GP95UvpAilYKhGgjYrAcoqVdWNGBhFUcp8cPqXzOVFLGxYTsGBZAEzF4KmmIxjAufX+iaV2bdQwFhd1VdVQhK6ODtttqb2e9Qq0qFxlDFjat1aw2cmZFsKJ15onRhDiiENpzMsdCt84II4Dw/vLZfcdTorWlt1g1i14MD+epnx2fG+IYwu88I2MnkR3DAlgeF2blc2/EIGgi52Dvx1D4AjbASFclQl07zKrabokR9UpiKimsfLb2G7ALwXh8fF28yo/vMa+OQUYMlvjNz7bF5zhCsT6f1iuiz29+F92h3hRWSSX17fnMtxhi7El95xkZO4nsGBbA8qjEmooYCopX+BLjosC0qv0ua1ZWUtmfrtrt8DanwM2qfJ679WWP+JwymFrw7dMgtMAss410VhLBG3F5X13glq5wFvdSUUzqmPycMi7pS02V0LUj1vhhxn54dJGRsdXIjmEBLI9UxFDVWBoVvemIo7JJV2Wjb1FJuvI56RgS4jNHLtGez4pK0hvwAHbaZlT5rIxvRC2pfkyaagqoF2F+Kbq3XOXbaa2N+CzvH3+m6F4G3SO1mk6DMDrXSphZSX0awwLis9dB5g7N2MW4VPZj2FWIspKmVW9GEtBQR7O67nQGu4legVntOpFap7SOWvG5L2IIKabm5yRBPclrQ2PZjovab4f30Fy9rkTWUUBgpAt/f6slhnyONMQh5QTzGgTXx2N0NpWcM6JnDIsYrGjE35efNd/aZ/E542JCdgwLoMlKClti9OkLQBMxTCtp9O2IAfBitqabOF1Vp7t6xxDvuwA0kcRcx2Cmq/ZQSZaGoByF1jJS18d7OYevk+NkuqrR+iJ1PFnHYJzv25FtuMYQO5wULB0kI2OnkB3DAlge64ih7s1IAowGeUa6KhvgtbZ4TkcVJTX1B85pg9b8nFZ1kgaRTmbebm1xgdswKimVZgrEEYWkiEjTTkFRm+eM5DMIaa3AopgklSWvs9pnyOvtOobokLkTnp9b7FhT0FRS9g8ZO4nsGBbAyqgMu6sOihga8ZnbYlhCdRcxtI5BRxVlQX7vB8O4T6twn4fUyjdoH9EZNETnNa0RaBNGBJCigPhe+nwoPseODtAUVLyPtPU6laFk6QBWMVxKvNb3DxxIT8TAhwZlJfU8IyNju5EdwwJYHhc4L1piNBFDv8YwbtNV+3Z78xGDHVWUBYmUVKPAbRZWOOuCNIaViWPRK9oh9G7EE1FLcXaPbpktHU/SmAfjQlpGOx55b/O4ccx6rny+5cD5mqDy2ehSq8cPopISTjkjYyeQHcMC2LtUBo5hUg2hkgrMqtoXryXabgO+pfdYWZn5EYO95Sc/Xz8HSKyiO4dA4fuEwfbvteMQ51WEEWoH8b38OBK8O5SwHNNA/a/jzxE23Gt/+ksWaMUt5qjPcduRBaikRfZwyMjYKmTHsAD2jEc4P5ERQzWXShp34nM6K4mNfV/EsD6LU1nTWUnSAcA8bjXRkyv05trQQfA9+sRnonRBG78P+H8lGMvVveznFGgM/nFmIZv+rNroRueNnXzMTCXLgfRQSd29hlBJ3Xeu5pSRsQPIjmEB7F0qsTqZwbXJxIMjhrruzUpieogjBh1VjETEYDmGWR23vpDPZ4QdRdufanXfHNM/5Vz7u6nqiKIs5mkM8vniQ4swId78J+EEDVsaUlfh5+i7ri/LSKIrjrtAKsmLzuF3niOGjJ3EhhwDEV1DRB8hoofbn1cbY76LiO4W/9aI6LXtud8moi+Lcy/fyHy2GnuWStTOp5UOykriArcqnZWkIwa9mU9BtmOwxGQgdADWFpbNa4rHqijCWjUTpbl8nlMcUcjVuVx5x6mtzN/LeghNTwWv5bMT342sppbPsu5nnbfur5/Tt8LvCxhI/cyOIeNiwEYjhrcA+Jhz7iUAPta+D+Cc+4Rz7uXOuZcDeAWAVQB/Kob8Sz7vnLt7g/PZUuxdaoRmppOaiGGe+FxgOjdiYMdgRwwpjcHSDIC+lXEcSVhbY2qeW4u2qQpjHiuPlEWsOXhDHd+bKzuldlGK13prT+109PFkxGCJz1I0tzQGM2IwHq7u20cz6WjCf8zsGTJ2Dht1DLcCeHf7+t0AXjtn/A8C+JBzbnWDz90RsGNYbQ34+my+xsA7uHEdg7lRT+sI1gzjD/RoDIkVcOq4TSXFDoV/pvoppQRjINYNtCORz44zmsK5aprFPyP1OhEFeJEh+BwafZFQ+lja+HfRQI+N76InoaFkZOw0NuoYnuecOwIA7c/nzhn/OgDvVcd+iYjuIaJ3EtFy6kIiuo2IDhDRgaNHj25s1heIlTFHDLP2Z90dS2HU7uDWdWKdU+A2Upw9n58YTfiCojZj5Q/oLKb4mRbtpLOR+rKQ9FzjOgaKDKo0ptoY85620qHIIjlS80k5iYCu4vNyDolIilEaSQJm5XPh56WhHZvlILrMq+6a+DvPyNhuzHUMRPRRIrrP+HfrIg8iousBvAzAh8XhnwHwtwF8O4BrAPx06nrn3O3Ouf3Ouf3XXXfdIo/eNOxdGgEAVlsqaW1adVFECuN2B7e+Ft1siNemVW86K5DmyVOGLqU3+LYXiI6RMMj6fro9hUUl6TnGdIl/th7r94sIqayUM0plIklTzYZcnrYqnyWsKmebShpuwftGCqasfZ89Q8bOYTRvgHPuValzRPQUEV3vnDvSGv6ne271jwD8oXNuKu59pH25TkS/BeBfDJz3jqCjkiYVnHNYncywZ07EsFQWmMzqbsVvidW+jqGOhGcgNEipCudAe0iJ0oZTsY/xfYzrSAvG4Vx1Cwxt1AEhtBZ9BW5Si9C9kuTzEsdj9iiAVfkcXh9f2Lerm5kRxT+lw9XtMTWVpBxERoaE26b2qhulku4E8Mb29RsBfKBn7OuhaKTWmYCa/xWvBXDfBuezpdjD4vO0wqSqUTt/LAXur8StNKyIgaOE9UTEMK/fkR4zZLxdvEbBNRZ/HkcI8fugDXcRy6je8VBkuL34LLKShK7Rq0ukKK72pilx2ZAgbM3AsNZ9KamaFrKMvT4XFPVlZOwQNuoY3gHgFiJ6GMAt7XsQ0X4i+g0eREQ3AngRgE+p6/8zEd0L4F4A1wL4xQ3OZ0shs5LWJo2hn6cxrIxKVHUTXQAJx9Aue1cnlZnOmooMwtf+usBJGFQSkU0TyfRQQGYp+blogxVrDCoriQg6CJIOKDaAfrOiIohgbOonII8Cwx6fl7AoNAmT0rOiiJ7IxIpE4jHx7wGAmRqbkbFdmEsl9cE5dwzAK43jBwC8Wbx/DMALjHGv2Mjztxt7x15j4NYY86ik5XFjgU6vNY7BSm9lZ7E6qaJ2GIBd1AY0xmNUNL2YZBrsONEGw97n2T8nlaaa0jWA2OjZlc7qGrLHAgjSVfmMrGkgSkcGKQdmagwGZac/h0ZfbYOVXmr1YIrH2D+HbO6TkbFVyJXPC6CjkiYz7xiW+r9CdgSnz0/b9/F4PnZuMuttyw3EEQevbHWFs045lWPnZeRoSilFRwFxXYY23EURXxPSRbYBlA5Fp8Dq51lzmyfezqtjsKmkYfSSPte3+E+dyuJzxk4iO4YFIMVnLnLbM+4PulbaiOFMGzFY6apdxLCeyEoSRkLXQfD7qI0GHxcOY2wVtfWsjK3UyVTqqbw2XJnH6apddXMR34/PBRqDjBjUM62eSDxOfgZ5DAhFa4sO4q85pMUQoU8T8J/NpovkMR1dZCYpw8I27eyZHcMiYNqooZIaQz9XfOaIYW2KcUkmd8wRw6RKZCVJmkhZJ3Y0kcMwNAR2Htpwa2g6I2hHrbcdNfo6ybmURBHNwpkVus+SPCcdjE5rTWci2Q7DSuQoEw5DXx+22E5b675U1u4y63IVVfCQvmrpjIytRnYMC6AoCCvtngznW/F5rsYwYo1hakYLzRh/j0UjBk8lJSKGMr62FpayL9PG3hdaRwi6E2yhCtDSbco57AAAEM9JREFUBW5mVpKYV5AVFUQDiYjBeIY8lnKIFm1j7+CWNtaW01ikhXakMeSQIcPAdv1VZMewIPYujbAqNYZ5WUnt+TNrMywnxkrdYFGNYZyKGNr38lqONmqxDO7rCTSyog7tgIz3ujFeusAtLT7L64LKZ9KdVuP7BsfJV1NLFEU81nIccnbW5j19OoJusNdX65C6b0aGRKaSLlLsGZdhVtJc8bmNGM6nIwZ5vK8ADogdwJLhAJpxflXOYL1BFsnYm96341ms7slKmvveiBjCrKTo8d11koFJrfznvU7Z15EZMdiRSDcnv1lCBFs/0HOxvmvtNNP3y8jYLmTHsCD2LZdYXa+6fknz6hhkumqq4Z48bjmGkbHq9+9T4nNIBwHAeMSOwY/rK8xiRyLZIqvBX997oviYzJiKIwbXzSHskOpX8On9GCSt1G9YUxSU/hxyelYEpcdbz+jrlcSOWesgmUrK2Elkx7AgrlgZ4/TatMsyunxl3Due9YMza9Pk3g3LgWNI1zkAcVYTOwAtWrNhDJyKYex6qaTNiBgKMneka+4bG0snxvBlzoU0TCp6sLKn9P7U1jz9YW+ddZGfnrdGb6V0T/SSihBywJCxk8iOYUFcsadxDFywdtnysHTVaeWSEcOo9IItRxgS0lkMTVftRMygVYZVVR3Ph4/xvfvqA+ZpDmVbhBfMDd7oRgZV7sfQXlc7BFZ1SJQg52llJVk9pCohvli9pEadY7UihvgZQ67jD6bppkwlZewksmNYEFfuGePU+SnOrE1x2fJobsgvjXof7cROY8WIGFaEsxgr55JKV+XMIxlhWJsE9WXT9K2QGUOopKTTojThI51G7VxAx1j1CvK+cs599+/m3DkG+TnC+zTHFowY2qd3ab/WPFRk0ydmZ2RsUw+97BgWxRUrI5xabaiky1fmdxSREUBfi2424FbEIB2KNu6pdNV2X6CApmLnETST6+HLx70r3fb5isLS70ui6JiVbcSQBW6lWMnLURfaEkPPq3vdRSYxlRTWcMTHLMoqelaPl9KOIFc8Z1wMyI5hQVy5Z4wz6zOcOj/FFXP0BSCMGPYtpR0Jp7LaLTOEYyhSVFJ4nEXcIBW2RyANr0Vwz/6IQb+PIwjtzDrx2apj4AI3ca52Lmj6l3IAKYfBnyelrfBXKqmkpc6Jymvi78M6pmGJ/hp8OTtjHmtFeRkZW43sGBbEFXvGcA548tTaoIhhn4gS9i4PiBjmUEma+mEDp+sp6s6wxBFDwNcbfwG8crb6MGnEBW7x/OKsJEkL2RGDPOecn7Kuk0i1xJDP6D5PTz2Ivp4dtbTlnVYwJ+LS4N9t3eMZtNjNI62tYDN2L7aLYsx/dQviij1NlHDoxOogxzAqi8459FFJHClYEUOfNsGr3BVFQdVGxGAZmb7+PWwILXqLMS99dWlURM/lEbVhJ/nzLI0Kkboa9hKyso/0Z/GOpMCsctF5K3qSYEcb1HwYWV18G8vkexE/pqq6e6qU1nlifsbuxnZRjdkxLIirWsdwYnWKq/YuDbqGnUkflcQrRcsJpNJcAekYwuvYBEnxuePIxThLPNcV0n3P1xGMNmTjooiOVdwryfgbn7UPlc6EQMHnCLKPEDuDYD4loWoFl7DTbP+fPvfAkvSSVcfQ1z9ppLK6LEdYqv5VWu/IEUOGxHZJUBv6qyOiHyKi+4moJqL9PeNeQ0QPEtFBInqLOH4TEf01ET1MRL9HRMMs7Q7i+VeudK+fe/nyoGv2dhFD2jHw79uKQvoiBv5D0VQS3y+MGEKaAugv1mKj2LdKWRn1U0nNnhE6mrHHymc2EUP7Wch/jtq5IMtJ7hYn58kOpiyoex1QSXMM7tD2IZ3RN6z+Es+To4qeiEF/xXw/q3dWxu7Fdu3TsdHlyH0A/iGAP0sNIKISwLsAfA+AlwJ4PRG9tD39ywDe6Zx7CYATAN60wflsOaRjuG6gY2Bjd82+tFjNv+9FHUMqm4kNqUUlyc2ArAXvIhlxem5Wt1lt3Njo9eXqj0vqehwV5KOWqnaBE7R2oONxQBOx8Opb6iHzDK7VcJAdXChih8+z7sFRjTWm0xTaU94Zztd3MnYfLomIwTn3Refcg3OG3QzgoHPuUefcBMD7ANza7vP8CgDvb8e9G82+zxc1rt3nncHXXLVn0DXTluN+zmVpR8IGzsp02tejTbBhSdE98n4csciVtdXYr3bzDTdDOwaLLoscg2itncJyWXardSISEUP4TPm55XxnlaePWGNIbYvKkAv6jsIRxzh5QEYHVsZTN7dx6Ej6qsz5PrP/v71zj22ruuP49wek71eahr6SlhbKoNugVBWCwSbGUGHs0VUqWqcJug1p0tC0B0IbCGna/lg12GDdEBtjwIBtQFmHRtdQSihJUUsJMaVN2qZJnCZx3k6cOHGcxI59v/vjHt/aThzM2sRu/ftIVz7nd86993e+ub6/ex7ONcNesX10VZISz1T98HEqHkeWA2iJy7caWwEAP8lIkj2ruegiQcFse8TrqiVz09rnM8vnAQCWxvU2kondwMfrhUzUM4ndMOfPTByFu2rJPGM/ExgWGr/jbbG2xN9gi0zAmzcz9dDXIhPkkm92yZPgwNhhm08vs30br3e0ce1i25+8i7By4SwAwJJ5M5zzFMyeNu4/FSycO925cc+dcQlmmGCaPzvP6eUtmJXn/FI9PjjGAmb+rDO6xEoL5kxz/I99xs8tOavCxgmIRfm2/8vM+eOD9D03rkT+rDxHi83r7Ut/XXE+gDO/qI/NTy2eZ+sdu+a+87nLAADXFM1POOdcs1/M15UFtg8TzWGneqjYfN1yfH7NIic/f2YevvipQqdNi5IedO69eRV+dOsVqU80DisLZuFb1xfjvlsux903rMQK8zePceXiOZ/oeONRvHAmtm/+LJ7dtgG/u+taXL10XkL5uuIFAMZfqXbb1Zfi0S3XYMc31+GmKwoSykSA1YtmAwC+du2yhOP99LYrU/qTPysP991yuZO/vHC2k/7ClYVO+oGNY48x0XzfOYXkhBuAt2EPGSVvm+LqlAPYkGL/uwA8E5e/G8ATAAph9yRi9mIA1RP48X0ALgCuFStWMJMcqu/mE/vraFlWWvXd3gAff6uWkWjq+m19Q3xs36mUdV470sIjzb1j7J39w9xecpLhSDTB3uANjPHRsiw+sb+ODd5AQt2nyt080dbv5P1DYT5ZVs/hcMSx7a1uZ2Wjz8lXt/r5n49anXxNRz+fP9To5A/Wd3OXq8XJP3+okcda+pzjv1rpYdS09bUjLXQ12W3rGhjmO6e6SJKh0ShfP9rG0GiUlmXxLwfcbOsbIkm+XNHMmg7b5wO1Xnb1Dzttqe0coGVZfO7gaXYHRhiORLnL1cJo1GJTzyB3H21zznu4oYfRqF03GBplfVeAbx7vcI7l8QV5qmOAL7zXSMuy+GRZPVv7hljd6ucbVe0cDkf465KTDIZGWdXip8cX5Im2fr5U0UzLslh6opOWZfFPZW66vQGWVLWz7FQXLcviyGiEQ6EIDzf0kCQHR0Y5Gonyt2+eoj8Y5u9La9nWN8SdlR56fEEebuhh72CIkahFy7J4sr2fA8Nh/u3gadZ2DvCNqnb6BkPcX9PJgeEwH9lbQ/9QmIGRUXoHRvjncjdPtvfzxfca2dg9yOpWP5t7gvQHw6xu9bMvGHLaF9OIJP9+uIl1nQPONZR8rbX0BvmHt89ca6UnOlnT0c+/vtvA/TWdrGz0sa1viMPhCPuHw/zvsTZWt/q551g7k7EsiyVV7TzS3MuSKrvc4wuyvNbLpw808GR7P+u7AvT4gmzqGaSrycdH36xhh3+Yw+EIj3r66B8K0+ML8rG3ahkwmiafw9Xk4y5XCytO+2hZFl+qaKY/GGZPYIQ7Suv4bp2XfcHQGP+GQhHu/MDDnZUeNvcE2RMY4fOH7Gtjz7F2ltd6nbr1XQEeqPVyZ6WHTx9o4D/eb6LHF2QwNEqSjEQtPrK3hr2DIbqafDxY382hUITbS046372ewAgP1ndzR2kdt5vr7GwA4OLH3PNJQngOfmMtIuUAHiDpGqfsRgC/JHm7yT9kin4DoBvAEpKR5HoTsWHDBrpcY06lKIqiTICIfEgy5UKhGFPRL6kEsMasQJoGYCuA3SZ6lQHYYuptA/D6FPijKIqiTMDZLlfdLCKtAG4EUCIi+4x9mYi8AQC05xB+CGAfgBoAr5I8YQ7xcwD3i4gb9pzDs2fjj6IoinL2nJOhpKlGh5IURVE+Odk0lKQoiqKcR2hgUBRFURLQwKAoiqIkoIFBURRFSUADg6IoipLAebkqSUS6ATT/n7svAtBzDt25UFGd0ke1Sg/VKT0mU6eVJAs/rtJ5GRjOBhFxpbNcK9dRndJHtUoP1Sk9skEnHUpSFEVREtDAoCiKoiSQi4Hh6Uw7cJ6gOqWPapUeqlN6ZFynnJtjUBRFUSYmF3sMiqIoygTkVGAQkTtEpFZE3CLyYKb9mWpE5DkR8YrI8TjbQhEpFZF685lv7CIifzRaVYnI+rh9tpn69SKyLRNtmUxEpFhEykSkRkROiMiPjV21ikNEZojIByJyzOj0K2NfJSIVps07zb/bh4hMN3m3Kb8s7lgPGXutiHzsO1nOR0TkYhH5SET2mHz26pTO23wuhA3AxQAaAKwGMA3AMQBrM+3XFGvwBQDrARyPsz0K4EGTfhDAIyZ9J4C9sN9yeQOACmNfCOC0+cw36fxMt+0c67QUwHqTngugDsBa1WqMTgJgjknnAagw7X8VwFZjfwrAD0z6PgBPmfRWADtNeq35Pk4HsMp8Ty/OdPsmQa/7AbwEYI/JZ61OudRjuB72q0RPkwwDeAXApgz7NKWQfBdAb5J5E4AXTPoFAN+Is79Im/cBLBCRpQBuB1BKspdkH4BSAHdMvvdTB8kOkkdMOgD7PSLLoVolYNo7aLJ5ZiOAWwHsMvZknWL67QLwJbFfvr0JwCskQyQbAbhhf18vGESkCMBXADxj8oIs1imXAsNyAC1x+VZjy3UWk+wA7BsigEuNPZVeOaWj6cZfB/tpWLVKwgyPHAXghR34GgD4ab+gC0hss6OHKe+H/YKuC14nADsA/AyAZfIFyGKdcikwyDg2XZKVmlR65YyOIjIHwL8B/ITkwERVx7HlhFYkoyTXASiC/fR69XjVzGdO6iQiXwXgJflhvHmcqlmjUy4FhlYAxXH5IgDtGfIlm+gywx4wn15jT6VXTugoInmwg8I/Sb5mzKpVCkj6AZTDnmNYICKXmKL4Njt6mPL5sIc2L3SdbgLwdRFpgj2EfSvsHkTW6pRLgaESwBqzEmAa7Emd3Rn2KRvYDSC2WmYbgNfj7PeYFTc3AOg3wyf7AGwUkXyzKmejsV0wmPHcZwHUkHw8rki1ikNECkVkgUnPBHAb7PmYMgBbTLVknWL6bQHwDu1Z1d0AtprVOKsArAHwwdS0YvIh+RDJIpKXwb7vvEPy28hmnTI9Uz+VG+zVI3Wwx0EfzrQ/GWj/ywA6AIzCfvq4F/bY5X4A9eZzoakrAJ40WlUD2BB3nO/BnvhyA/hupts1CTrdDLuLXgXgqNnuVK3G6HQNgI+MTscB/MLYV8O+YbkB/AvAdGOfYfJuU7467lgPG/1qAXw5022bRM1uwZlVSVmrk/7yWVEURUkgl4aSFEVRlDTQwKAoiqIkoIFBURRFSUADg6IoipKABgZFURQlAQ0MiqIoSgIaGBRFUZQENDAoiqIoCfwPqAX8dXTF+UoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Some useful functions to convert between f32 and q31 format.\n",
    "def q31sat(x):\n",
    "     if x > 0x7FFFFFFF:\n",
    "          return(np.int32(0x7FFFFFFF))\n",
    "     elif x < -0x80000000:\n",
    "          return(np.int32(0x80000000))\n",
    "     else:\n",
    "          return(np.int32(x))\n",
    "\n",
    "q31satV=np.vectorize(q31sat)\n",
    "\n",
    "def toQ31(x):\n",
    "     return(q31satV(np.round(x * (1<<31))))\n",
    "\n",
    "def Q31toF32(x):\n",
    "     return(1.0*x / 2**31)\n",
    "    \n",
    "# The return of a RFFT is complex. But cmsidsp is returning a flattened buffer with\n",
    "# twice the size. This function is doing the convertion to complex numbers.\n",
    "def asComplex(ar):\n",
    "    return(ar[0::2] + 1j * ar[1::2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize the RFFT Q31\n",
    "rfftq31=dsp.arm_rfft_instance_q31()\n",
    "status=dsp.arm_rfft_init_q31(rfftq31,nb,0,1)\n",
    "# Convert the input signal to Q31\n",
    "signalRQ31=toQ31(signal)\n",
    "# Compute the RFFT\n",
    "result = dsp.arm_rfft_q31(rfftq31,signalRQ31)\n",
    "# Convert the output spectrum to complex float and apply a scaling\n",
    "result=asComplex(Q31toF32(result)*(1 << 12))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mag=10.0 * np.log(np.abs(result))\n",
    "plot(mag)\n",
    "title(\"RFFT Q31\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
